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Oscillation with Respect to Partial Variables of Linear Second-Order Differential Systems

Zongqi Deng and Shigui Ruan
Proceedings of the American Mathematical Society
Vol. 113, No. 3 (Nov., 1991), pp. 777-783
DOI: 10.2307/2048615
Stable URL: http://www.jstor.org/stable/2048615
Page Count: 7
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Oscillation with Respect to Partial Variables of Linear Second-Order Differential Systems
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Abstract

Consider the second-order vector differential system (1) x''(t) + Q(t)x(t) = 0 and matrix differential system (2) X''(t) + Q(t)X(t) = 0, where x(t) is an n-dimensional vector function and X(t) and Q(t) are n × n continuous matrix functions. In this article, we establish the concept that systems (1) and (2) are oscillatory with respect to partial variables. Some sufficient conditions are obtained; several examples are given to illustrate the results.

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